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Finding the Fourth Proportional to 5,189.87, 7,778.03 and 1,899.86

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Solution

The fourth proportional to 5,189.87, 7,778.03 and 1,899.86 is: 2,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.87 : 7,778.03 = 1,899.86 : x
  2. Step 2: Convert to fraction form
    5,189.87/7,778.03 = 1,899.86/x
  3. Step 3: Cross multiply
    5,189.87x = 7,778.03 × 1,899.86
  4. Step 4: Simplify right side
    5,189.87x = 14,777,119.69
  5. Step 5: Solve for x
    x = 14,777,119.69/5,189.87
  6. Step 6: Final answer
    x = 2,847.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.